📄 sa_fig4_22.m
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% %%
%% ****************************************************** %%
%% * Smart Antennas for Wireless Applications w/ Matlab * %%
%% ****************************************************** %%
%% %%
%% Chapter 4: Fig 4.22 %%
%% %%
%% Author: Frank Gross %%
%% McGraw-Hill, 2005 %%
%% Date: 4/24/2005 %%
%% %%
%% This code creates Figure 4.22, a plot of a Kaiser-bessel %%
%% weighted ULA beamsteered to thetao = 0, 30 & 60 degs. %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%------------------- Define Variables:---------------------%%
% N - number of array elements %
% d - array element spacing (wavelengths) %
% M - 2N total number of array elements %
% theta - angle (deg) %
% thetao - beamsteering angle (deg) %
% w - kaiser-bessel array weights of length N, alpha = 3 %
% AF - array factor of N element array %
%%----------------------------------------------------------%%
%%----- Given Values -----%%
N = 8; d = 0.5; M = N/2;
theta = -pi/2:.001:pi/2; thetao = [0 30 60]*pi/180;
w = kaiser(N,3);
%%----- Determine Array Factor for Even Array -----%%
for k = 1:length(thetao)
AF = 0;
for n = 1:M
AF = AF + w(n+M)*cos((2*n-1)*pi*d*(sin(theta)-sin(thetao(k))));
end
AF = 2*(AF); AF = AF/sum(w);
%%----- Plot Results -----%%
plot(theta*180/pi,abs(AF)/max(abs(AF)),'k')
axis([-90 90 0 1]), grid on
xlabel('\theta (deg)'), ylabel('|AF_n|')
title('\bfFigure 4.22 - Beamsteered Kaiser-Bessel Weighted Array w/ \theta_o = 0,30,60')
hold on
end
legend('0^o','30^o','60^o',2)
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